Search a number
-
+
150833664 = 29343637
BaseRepresentation
bin10001111110110…
…00101000000000
3101111211010220000
420333120220000
5302103134124
622544520000
73511031202
oct1077305000
9344733800
10150833664
1178161623
1242620000
13253314b7
1416064772
15d3966c9
hex8fd8a00

150833664 has 100 divisors (see below), whose sum is σ = 450322554. Its totient is φ = 50264064.

The previous prime is 150833653. The next prime is 150833687. The reversal of 150833664 is 466338051.

It can be written as a sum of positive squares in only one way, i.e., 149817600 + 1016064 = 12240^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39654 + ... + 43290.

Almost surely, 2150833664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225161277).

150833664 is an abundant number, since it is smaller than the sum of its proper divisors (299488890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150833664 is an frugal number, since it uses more digits than its factorization.

150833664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 150833664 is about 12281.4357466869. The cubic root of 150833664 is about 532.3118001861.

The spelling of 150833664 in words is "one hundred fifty million, eight hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 3637 4608 5184 6912 7274 10368 10911 13824 14548 20736 21822 29096 32733 41472 43644 58192 65466 87288 98199 116384 130932 174576 196398 232768 261864 294597 349152 392796 465536 523728 589194 698304 785592 931072 1047456 1178388 1396608 1571184 1862144 2094912 2356776 2793216 3142368 4189824 4713552 5586432 6284736 8379648 9427104 12569472 16759296 18854208 25138944 37708416 50277888 75416832 150833664